You are driving at the speed of 34.3 m/s

(76.7433 mph) when suddenly the car in
front of you (previously traveling at the same
speed) brakes. Considering an average human
reaction, you press the brakes 0.429 s later.
Assume that the brakes on both cars are fully
engaged and that the coefficient of friction is
0.887 between both cars and the road.
The acceleration of gravity is 9.8 m/s
2
.
a) Calculate the magnitude of the acceleration
of the car in front of you when it brakes.
b)Calculate the braking distance for the car in
front of you.
c) Find the minimum safe distance at which you
can follow the car in front of you and avoid
hitting it (in the case of emergency braking
described here).